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153938988 = 223372191531
BaseRepresentation
bin10010010110011…
…10110000101100
3101201122220121000
421023032300230
5303402021423
623135240300
73546313500
oct1113166054
9351586530
10153938988
1179992705
1243679090
1325b7aa78
1416632300
15d7ab843
hex92cec2c

153938988 has 144 divisors (see below), whose sum is σ = 489014400. Its totient is φ = 41640480.

The previous prime is 153938957. The next prime is 153939001. The reversal of 153938988 is 889839351.

153938988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99783 + ... + 101313.

Almost surely, 2153938988 is an apocalyptic number.

153938988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153938988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244507200).

153938988 is an abundant number, since it is smaller than the sum of its proper divisors (335075412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153938988 is a wasteful number, since it uses less digits than its factorization.

153938988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1562 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 153938988 is about 12407.2151589307. The cubic root of 153938988 is about 535.9400458299.

The spelling of 153938988 in words is "one hundred fifty-three million, nine hundred thirty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1531 1596 1764 1862 2052 2394 2646 2793 3062 3591 3724 4593 4788 5292 5586 6124 7182 8379 9186 10717 11172 13779 14364 16758 18372 21434 25137 27558 29089 32151 33516 41337 42868 50274 55116 58178 64302 75019 82674 87267 96453 100548 116356 128604 150038 165348 174534 192906 203623 225057 261801 289359 300076 349068 385812 407246 450114 523602 578718 610869 675171 785403 814492 900228 1047204 1157436 1221738 1350342 1425361 1570806 1832607 2025513 2443476 2700684 2850722 3141612 3665214 4051026 4276083 5497821 5701444 7330428 8102052 8552166 10995642 12828249 17104332 21991284 25656498 38484747 51312996 76969494 153938988