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1052418432 = 27313216217
BaseRepresentation
bin111110101110101…
…010000110000000
32201100022101200110
4332232222012000
54123404342212
6252232551320
735036260212
oct7656520600
92640271613
101052418432
114a00765aa
12254552540
1313a061300
149dab45b2
15625d7a3c
hex3ebaa180

1052418432 has 96 divisors (see below), whose sum is σ = 3027251880. Its totient is φ = 323801088.

The previous prime is 1052418431. The next prime is 1052418449. The reversal of 1052418432 is 2348142501.

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

It is a super-2 number, since 2×10524184322 = 2215169112026677248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052418432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052418431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56788 + ... + 73004.

Almost surely, 21052418432 is an apocalyptic number.

1052418432 is a gapful number since it is divisible by the number (12) 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 1052418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513625940).

1052418432 is an abundant number, since it is smaller than the sum of its proper divisors (1974833448).

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

1052418432 is a wasteful number, since it uses less digits than its factorization.

1052418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1052418432 is about 32440.9992447828. Note that the first 3 decimals coincide. The cubic root of 1052418432 is about 1017.1761030608.

The spelling of 1052418432 in words is "one billion, fifty-two million, four hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16217 16224 21632 32434 32448 48651 64868 64896 97302 129736 194604 210821 259472 389208 421642 518944 632463 778416 843284 1037888 1264926 1556832 1686568 2075776 2529852 2740673 3113664 3373136 5059704 5481346 6227328 6746272 8222019 10119408 10962692 13492544 16444038 20238816 21925384 26985088 32888076 40477632 43850768 65776152 80955264 87701536 131552304 175403072 263104608 350806144 526209216 1052418432