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46245056 = 26111331163
BaseRepresentation
bin1011000001101…
…0010011000000
310020000111021212
42300122103000
543314320211
64331105252
71101035144
oct260322300
9106014255
1046245056
1124116660
12135a2228
139772250
1461db224
1540d738b
hex2c1a4c0

46245056 has 112 divisors (see below), whose sum is σ = 111971328. Its totient is φ = 18662400.

The previous prime is 46245029. The next prime is 46245077. The reversal of 46245056 is 65054264.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 283631 + ... + 283793.

It is an arithmetic number, because the mean of its divisors is an integer number (999744).

Almost surely, 246245056 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 46245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55985664).

46245056 is an abundant number, since it is smaller than the sum of its proper divisors (65726272).

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

46245056 is a wasteful number, since it uses less digits than its factorization.

46245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 46245056 is about 6800.3717545440. The cubic root of 46245056 is about 358.9399267892.

The spelling of 46245056 in words is "forty-six million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 163 176 208 248 286 326 341 352 403 416 496 572 652 682 704 806 832 992 1144 1304 1364 1612 1793 1984 2119 2288 2608 2728 3224 3586 4238 4433 4576 5053 5216 5456 6448 7172 8476 8866 9152 10106 10432 10912 12896 14344 16952 17732 20212 21824 23309 25792 28688 33904 35464 40424 46618 55583 57376 65689 67808 70928 80848 93236 111166 114752 131378 135616 141856 161696 186472 222332 262756 283712 323392 372944 444664 525512 722579 745888 889328 1051024 1445158 1491776 1778656 2102048 2890316 3557312 4204096 5780632 11561264 23122528 46245056