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76425552 = 24337127199
BaseRepresentation
bin1001000111000…
…10100101010000
312022210211011000
410203202211100
5124031104202
611330022000
71615415010
oct443424520
9168724130
1076425552
113a15a715
1221717900
1312aab428
14a215c40
156a9991c
hex48e2950

76425552 has 160 divisors (see below), whose sum is σ = 253952000. Its totient is φ = 21555072.

The previous prime is 76425529. The next prime is 76425563. The reversal of 76425552 is 25552467.

76425552 is a `hidden beast` number, since 7 + 642 + 5 + 5 + 5 + 2 = 666.

It is a super-3 number, since 3×764255523 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (84000) is a multiple of the sum of its prime factors (350).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383949 + ... + 384147.

It is an arithmetic number, because the mean of its divisors is an integer number (1587200).

Almost surely, 276425552 is an apocalyptic number.

76425552 is a gapful number since it is divisible by the number (72) 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 76425552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126976000).

76425552 is an abundant number, since it is smaller than the sum of its proper divisors (177526448).

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

76425552 is a wasteful number, since it uses less digits than its factorization.

76425552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 76425552 is about 8742.1708974373. The cubic root of 76425552 is about 424.3714852762.

The spelling of 76425552 in words is "seventy-six million, four hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 127 144 168 189 199 216 252 254 336 378 381 398 432 504 508 597 756 762 796 889 1008 1016 1143 1194 1393 1512 1524 1592 1778 1791 2032 2286 2388 2667 2786 3024 3048 3184 3429 3556 3582 4179 4572 4776 5334 5373 5572 6096 6858 7112 7164 8001 8358 9144 9552 10668 10746 11144 12537 13716 14224 14328 16002 16716 18288 21336 21492 22288 24003 25074 25273 27432 28656 32004 33432 37611 42672 42984 48006 50148 50546 54864 64008 66864 75222 75819 85968 96012 100296 101092 128016 150444 151638 176911 192024 200592 202184 227457 300888 303276 353822 384048 404368 454914 530733 601776 606552 682371 707644 909828 1061466 1213104 1364742 1415288 1592199 1819656 2122932 2729484 2830576 3184398 3639312 4245864 4776597 5458968 6368796 8491728 9553194 10917936 12737592 19106388 25475184 38212776 76425552