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46069056 = 2632112661
BaseRepresentation
bin1010111110111…
…1010101000000
310012200112212100
42233233111000
543243202211
64323230400
71066403055
oct257572500
9105615770
1046069056
1124006400
1213518400
1397100c7
14619302c
1540a0156
hex2bef540

46069056 has 126 divisors (see below), whose sum is σ = 145363946. Its totient is φ = 13939200.

The previous prime is 46069027. The next prime is 46069061. The reversal of 46069056 is 65096064.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43560000 + 2509056 = 6600^2 + 1584^2 .

It is a super-2 number, since 2×460690562 = 4244715841462272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46069056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69366 + ... + 70026.

Almost surely, 246069056 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 46069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72681973).

46069056 is an abundant number, since it is smaller than the sum of its proper divisors (99294890).

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

46069056 is a wasteful number, since it uses less digits than its factorization.

46069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 46069056 is about 6787.4189497923. The cubic root of 46069056 is about 358.4839952473.

The spelling of 46069056 in words is "forty-six million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 661 704 726 792 968 1056 1089 1322 1452 1584 1936 1983 2112 2178 2644 2904 3168 3872 3966 4356 5288 5808 5949 6336 7271 7744 7932 8712 10576 11616 11898 14542 15864 17424 21152 21813 23232 23796 29084 31728 34848 42304 43626 47592 58168 63456 65439 69696 79981 87252 95184 116336 126912 130878 159962 174504 190368 232672 239943 261756 319924 349008 380736 465344 479886 523512 639848 698016 719829 959772 1047024 1279696 1396032 1439658 1919544 2094048 2559392 2879316 3839088 4188096 5118784 5758632 7678176 11517264 15356352 23034528 46069056