[go: up one dir, main page]

Search a number
-
+
46389840 = 2435753521
BaseRepresentation
bin1011000011110…
…1101001010000
310020021211220020
42300331221100
543333433330
64334143440
71102210230
oct260755120
9106254806
1046389840
1124205412
1213651b80
1397c3113
146237cc0
154115210
hex2c3da50

46389840 has 160 divisors (see below), whose sum is σ = 167774976. Its totient is φ = 10383360.

The previous prime is 46389839. The next prime is 46389853. The reversal of 46389840 is 4898364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46389792 and 46389801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88780 + ... + 89300.

Almost surely, 246389840 is an apocalyptic number.

46389840 is a gapful number since it is divisible by the number (40) 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 46389840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83887488).

46389840 is an abundant number, since it is smaller than the sum of its proper divisors (121385136).

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

46389840 is a wasteful number, since it uses less digits than its factorization.

46389840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 46389840 is about 6811.0087358628. The cubic root of 46389840 is about 359.3141261984.

The spelling of 46389840 in words is "forty-six million, three hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 521 530 560 636 742 795 840 848 1042 1060 1113 1272 1484 1563 1590 1680 1855 2084 2120 2226 2544 2605 2968 3126 3180 3647 3710 4168 4240 4452 5210 5565 5936 6252 6360 7294 7420 7815 8336 8904 10420 10941 11130 12504 12720 14588 14840 15630 17808 18235 20840 21882 22260 25008 27613 29176 29680 31260 36470 41680 43764 44520 54705 55226 58352 62520 72940 82839 87528 89040 109410 110452 125040 138065 145880 165678 175056 193291 218820 220904 276130 291760 331356 386582 414195 437640 441808 552260 579873 662712 773164 828390 875280 966455 1104520 1159746 1325424 1546328 1656780 1932910 2209040 2319492 2899365 3092656 3313560 3865820 4638984 5798730 6627120 7731640 9277968 11597460 15463280 23194920 46389840