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401224425 = 35271922973
BaseRepresentation
bin10111111010100…
…011001011101001
31000221222022102220
4113322203023221
51310203140200
6103451344253
712641231340
oct2772431351
91027868386
10401224425
11196531938
12b2452089
136517ca04
143b402b57
15253564a0
hex17ea32e9

401224425 has 144 divisors (see below), whose sum is σ = 839053440. Its totient is φ = 165473280.

The previous prime is 401224423. The next prime is 401224433. The reversal of 401224425 is 524422104.

It is a happy number.

It is not a de Polignac number, because 401224425 - 21 = 401224423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401224395 and 401224404.

It is not an unprimeable number, because it can be changed into a prime (401224423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5496189 + ... + 5496261.

It is an arithmetic number, because the mean of its divisors is an integer number (5826760).

Almost surely, 2401224425 is an apocalyptic number.

It is an amenable number.

401224425 is an abundant number, since it is smaller than the sum of its proper divisors (437829015).

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

401224425 is a wasteful number, since it uses less digits than its factorization.

401224425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 401224425 is about 20030.5872355256. The cubic root of 401224425 is about 737.5573373022.

Adding to 401224425 its reverse (524422104), we get a palindrome (925646529).

The spelling of 401224425 in words is "four hundred one million, two hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 29 35 57 73 75 87 95 105 133 145 175 203 219 285 361 365 399 435 475 511 525 551 609 665 725 1015 1083 1095 1387 1425 1533 1653 1805 1825 1995 2117 2175 2527 2555 2755 3045 3325 3857 4161 5075 5415 5475 6351 6935 7581 7665 8265 9025 9709 9975 10469 10585 11571 12635 12775 13775 14819 15225 19285 20805 26353 27075 29127 31407 31755 34675 37905 38325 40223 41325 44457 48545 52345 52925 57855 63175 73283 74095 79059 96425 104025 120669 131765 145635 157035 158775 184471 189525 201115 219849 222285 242725 261725 281561 289275 366415 370475 395295 553413 603345 658825 728175 764237 785175 844683 922355 1005575 1099245 1111425 1407805 1832075 1976475 2292711 2767065 3016725 3821185 4223415 4611775 5349659 5496225 7039025 11463555 13835325 16048977 19105925 21117075 26748295 57317775 80244885 133741475 401224425