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457873572 = 223135379701
BaseRepresentation
bin11011010010101…
…001100010100100
31011220120101110110
4123102221202210
51414203423242
6113233453020
714226601242
oct3322514244
91156511413
10457873572
11215504212
12109411170
1373b25710
1444b4b792
152a2e639c
hex1b4a98a4

457873572 has 96 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 136281600.

The previous prime is 457873561. The next prime is 457873601. The reversal of 457873572 is 275378754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652822 + ... + 653522.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2457873572 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 457873572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

457873572 is an abundant number, since it is smaller than the sum of its proper divisors (730921308).

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

457873572 is a wasteful number, since it uses less digits than its factorization.

457873572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its digits is 1646400, while the sum is 48.

The square root of 457873572 is about 21397.9805589219. The cubic root of 457873572 is about 770.7529442718.

The spelling of 457873572 in words is "four hundred fifty-seven million, eight hundred seventy-three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 79 106 156 158 159 212 237 316 318 474 636 689 701 948 1027 1378 1402 2054 2067 2103 2756 2804 3081 4108 4134 4187 4206 6162 8268 8374 8412 9113 12324 12561 16748 18226 25122 27339 36452 37153 50244 54431 54678 55379 74306 108862 109356 110758 111459 148612 163293 166137 217724 221516 222918 326586 332274 445836 482989 653172 664548 719927 965978 1439854 1448967 1931956 2159781 2879708 2897934 2935087 4319562 5795868 5870174 8639124 8805261 11740348 17610522 35221044 38156131 76312262 114468393 152624524 228936786 457873572