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82403928240 = 24351091314711
BaseRepresentation
bin100110010111110101…
…0000010100010110000
321212200212112021121020
41030233222002202300
52322230401200430
6101504510055440
75645021555514
oct1145752024260
9255625467536
1082403928240
1131a46961a37
1213b78aaa580
137a0319776a
143dba13c144
15222456db10
hex132fa828b0

82403928240 has 80 divisors (see below), whose sum is σ = 255687134976. Its totient is φ = 21954169600.

The previous prime is 82403928163. The next prime is 82403928371. The reversal of 82403928240 is 4282930428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 82403928192 and 82403928201.

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, 104485 + ... + 419195.

Almost surely, 282403928240 is an apocalyptic number.

82403928240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82403928240 is an abundant number, since it is smaller than the sum of its proper divisors (173283206736).

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

82403928240 is a wasteful number, since it uses less digits than its factorization.

82403928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315818 (or 315812 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 82403928240 in words is "eighty-two billion, four hundred three million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1091 2182 3273 4364 5455 6546 8728 10910 13092 16365 17456 21820 26184 32730 43640 52368 65460 87280 130920 261840 314711 629422 944133 1258844 1573555 1888266 2517688 3147110 3776532 4720665 5035376 6294220 7553064 9441330 12588440 15106128 18882660 25176880 37765320 75530640 343349701 686699402 1030049103 1373398804 1716748505 2060098206 2746797608 3433497010 4120196412 5150245515 5493595216 6866994020 8240392824 10300491030 13733988040 16480785648 20600982060 27467976080 41201964120 82403928240