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76225820 = 225113171093
BaseRepresentation
bin1001000101100…
…01110100011100
312022102200011112
410202301310130
5124003211240
611321441152
71613623466
oct442616434
9168380145
1076225820
113a033650
12216401b8
1312a3b548
14a1a3136
156a5a665
hex48b1d1c

76225820 has 48 divisors (see below), whose sum is σ = 175337568. Its totient is φ = 27605760.

The previous prime is 76225759. The next prime is 76225843. The reversal of 76225820 is 2852267.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69194 + ... + 70286.

It is an arithmetic number, because the mean of its divisors is an integer number (3652866).

Almost surely, 276225820 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 76225820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87668784).

76225820 is an abundant number, since it is smaller than the sum of its proper divisors (99111748).

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

76225820 is a wasteful number, since it uses less digits than its factorization.

76225820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 76225820 is about 8730.7399457320. The cubic root of 76225820 is about 424.0014759056.

The spelling of 76225820 in words is "seventy-six million, two hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1093 1268 1585 2186 3170 3487 4372 5465 6340 6974 10930 12023 13948 17435 21860 24046 34870 48092 60115 69740 120230 240460 346481 692962 1385924 1732405 3464810 3811291 6929620 7622582 15245164 19056455 38112910 76225820