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38840148 = 2235311289
BaseRepresentation
bin1001010000101…
…0011101010100
32201002021200000
42110022131110
534420341043
63504251300
7651064404
oct224123524
981067600
1038840148
111aa191a6
1211010b30
13807b949
145230804
1536232d3
hex250a754

38840148 has 72 divisors (see below), whose sum is σ = 105181440. Its totient is φ = 12519360.

The previous prime is 38840147. The next prime is 38840159. The reversal of 38840148 is 84104883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38840147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29488 + ... + 30776.

Almost surely, 238840148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38840148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590720).

38840148 is an abundant number, since it is smaller than the sum of its proper divisors (66341292).

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

38840148 is a wasteful number, since it uses less digits than its factorization.

38840148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38840148 is about 6232.1864542069. The cubic root of 38840148 is about 338.6571833960.

The spelling of 38840148 in words is "thirty-eight million, eight hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1289 1674 2511 2578 3348 3867 5022 5156 7533 7734 10044 11601 15066 15468 23202 30132 34803 39959 46404 69606 79918 104409 119877 139212 159836 208818 239754 313227 359631 417636 479508 626454 719262 1078893 1252908 1438524 2157786 3236679 4315572 6473358 9710037 12946716 19420074 38840148