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151215456 = 2537225023
BaseRepresentation
bin10010000001101…
…01110101100000
3101112112112121110
421000311311200
5302202343311
623001023320
73514211250
oct1100656540
9345475543
10151215456
11783a2457
1242784b40
1325436202
1416123960
15d41e8a6
hex9035d60

151215456 has 48 divisors (see below), whose sum is σ = 453648384. Its totient is φ = 43204224.

The previous prime is 151215443. The next prime is 151215461. The reversal of 151215456 is 654512151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1512154562 = 45732228266575872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111840 + ... + 113183.

It is an arithmetic number, because the mean of its divisors is an integer number (9451008).

Almost surely, 2151215456 is an apocalyptic number.

151215456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151215456 is an abundant number, since it is smaller than the sum of its proper divisors (302432928).

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

151215456 is a wasteful number, since it uses less digits than its factorization.

151215456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225043 (or 225035 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 151215456 is about 12296.9693827382. The cubic root of 151215456 is about 532.7605531311.

The spelling of 151215456 in words is "one hundred fifty-one million, two hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 225023 450046 675069 900092 1350138 1575161 1800184 2700276 3150322 3600368 4725483 5400552 6300644 7200736 9450966 10801104 12601288 18901932 21602208 25202576 37803864 50405152 75607728 151215456