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46945440 = 2533510867
BaseRepresentation
bin1011001100010…
…1010010100000
310021100002001000
42303011102200
544004223230
64354112000
71110013113
oct263052240
9107302030
1046945440
1124554893
121387b600
139958c89
14634057a
1541c4b60
hex2cc54a0

46945440 has 96 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 12517632.

The previous prime is 46945411. The next prime is 46945463. The reversal of 46945440 is 4454964.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 46945395 and 46945404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 9753.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 246945440 is an apocalyptic number.

46945440 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 46945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

46945440 is an abundant number, since it is smaller than the sum of its proper divisors (117378720).

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

46945440 is a wasteful number, since it uses less digits than its factorization.

46945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46945440 is about 6851.6742479485. The cubic root of 46945440 is about 360.7429102907.

The spelling of 46945440 in words is "forty-six million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 10867 21734 32601 43468 54335 65202 86936 97803 108670 130404 163005 173872 195606 217340 260808 293409 326010 347744 391212 434680 489015 521616 586818 652020 782424 869360 978030 1043232 1173636 1304040 1467045 1564848 1738720 1956060 2347272 2608080 2934090 3129696 3912120 4694544 5216160 5868180 7824240 9389088 11736360 15648480 23472720 46945440