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47074368 = 2631131719
BaseRepresentation
bin1011001110010…
…0110001000000
310021120121220010
42303210301000
544022334433
64400544520
71111061025
oct263446100
9107517803
1047074368
1124632740
1213922140
1399a2873
14637554c
1541ece63
hex2ce4c40

47074368 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 13785600.

The previous prime is 47074351. The next prime is 47074369. The reversal of 47074368 is 86347074.

It is a happy number.

It is a super-2 number, since 2×470743682 = 4431992245198848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47074369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65113 + ... + 65831.

Almost surely, 247074368 is an apocalyptic number.

47074368 is a gapful number since it is divisible by the number (48) 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 47074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

47074368 is an abundant number, since it is smaller than the sum of its proper divisors (93377472).

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

47074368 is a wasteful number, since it uses less digits than its factorization.

47074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 47074368 is about 6861.0763004065. The cubic root of 47074368 is about 361.0728489708.

The spelling of 47074368 in words is "forty-seven million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 719 744 992 1023 1056 1364 1438 1488 1984 2046 2112 2157 2728 2876 2976 4092 4314 5456 5752 5952 7909 8184 8628 10912 11504 15818 16368 17256 21824 22289 23008 23727 31636 32736 34512 44578 46016 47454 63272 65472 66867 69024 89156 94908 126544 133734 138048 178312 189816 245179 253088 267468 356624 379632 490358 506176 534936 713248 735537 759264 980716 1069872 1426496 1471074 1518528 1961432 2139744 2942148 3922864 4279488 5884296 7845728 11768592 15691456 23537184 47074368