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76441968 = 243519661
BaseRepresentation
bin1001000111001…
…10100101110000
312022211122200000
410203212211300
5124032120333
611330230000
71615513611
oct443464560
9168748600
1076441968
113a170a89
1221725300
1312ab5a45
14a21bc08
156a9e713
hex48e6970

76441968 has 60 divisors (see below), whose sum is σ = 221866008. Its totient is φ = 25479360.

The previous prime is 76441957. The next prime is 76441969. The reversal of 76441968 is 86914467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76441969) 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, 5943 + ... + 13718.

Almost surely, 276441968 is an apocalyptic number.

It is an amenable number.

76441968 is an abundant number, since it is smaller than the sum of its proper divisors (145424040).

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

76441968 is a wasteful number, since it uses less digits than its factorization.

76441968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684 (or 19666 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 76441968 is about 8743.1097442500. The cubic root of 76441968 is about 424.4018677133.

The spelling of 76441968 in words is "seventy-six million, four hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 19661 39322 58983 78644 117966 157288 176949 235932 314576 353898 471864 530847 707796 943728 1061694 1415592 1592541 2123388 2831184 3185082 4246776 4777623 6370164 8493552 9555246 12740328 19110492 25480656 38220984 76441968