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76522240 = 285191313
BaseRepresentation
bin1001000111110…
…10001100000000
312022222201210001
410203322030000
5124042202430
611332045344
71616266624
oct443721400
9168881701
1076522240
113a216323
1221763854
1312b13442
14a23d184
156ab83ca
hex48fa300

76522240 has 72 divisors (see below), whose sum is σ = 184843008. Its totient is φ = 30351360.

The previous prime is 76522211. The next prime is 76522247. The reversal of 76522240 is 4222567.

It is a junction number, because it is equal to n+sod(n) for n = 76522199 and 76522208.

It is not an unprimeable number, because it can be changed into a prime (76522247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244324 + ... + 244636.

It is an arithmetic number, because the mean of its divisors is an integer number (2567264).

Almost surely, 276522240 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 76522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92421504).

76522240 is an abundant number, since it is smaller than the sum of its proper divisors (108320768).

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

76522240 is a wasteful number, since it uses less digits than its factorization.

76522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 76522240 is about 8747.6991260559. The cubic root of 76522240 is about 424.5503710801.

It can be divided in two parts, 765 and 22240, that added together give a triangular number (23005 = T214).

The spelling of 76522240 in words is "seventy-six million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 256 313 320 382 626 640 764 955 1252 1280 1528 1565 1910 2504 3056 3130 3820 5008 6112 6260 7640 10016 12224 12520 15280 20032 24448 25040 30560 40064 48896 50080 59783 61120 80128 100160 119566 122240 200320 239132 244480 298915 400640 478264 597830 956528 1195660 1913056 2391320 3826112 4782640 7652224 9565280 15304448 19130560 38261120 76522240