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76423928 = 23721931331
BaseRepresentation
bin1001000111000…
…10001011111000
312022210201220212
410203202023320
5124031031203
611330010252
71615410200
oct443421370
9168721825
1076423928
113a159479
1221716988
1312aaa779
14a215400
156a991d8
hex48e22f8

76423928 has 96 divisors (see below), whose sum is σ = 181670400. Its totient is φ = 29937600.

The previous prime is 76423883. The next prime is 76423931. The reversal of 76423928 is 82932467.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230723 + ... + 231053.

It is an arithmetic number, because the mean of its divisors is an integer number (1892400).

Almost surely, 276423928 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 76423928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90835200).

76423928 is an abundant number, since it is smaller than the sum of its proper divisors (105246472).

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

76423928 is a wasteful number, since it uses less digits than its factorization.

76423928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 76423928 is about 8742.0780138363. The cubic root of 76423928 is about 424.3684793698.

The spelling of 76423928 in words is "seventy-six million, four hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 331 392 434 532 589 662 868 931 1064 1178 1324 1519 1736 1862 2317 2356 2648 3038 3724 4123 4634 4712 6076 6289 7448 8246 9268 10261 12152 12578 16219 16492 18536 20522 25156 28861 32438 32984 41044 44023 50312 57722 64876 71827 82088 88046 115444 129752 143654 176092 194959 230888 287308 308161 352184 389918 502789 574616 616322 779836 1005578 1232644 1364713 1559672 2011156 2465288 2729426 4022312 5458852 9552991 10917704 19105982 38211964 76423928