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258273372 = 223789179193
BaseRepresentation
bin11110110010011…
…11000001011100
3122222222122110110
433121033001130
51012104221442
641343410020
76254200410
oct1731170134
9588878413
10258273372
11122874675
12725b3910
134167b3a6
1426430d40
1517a1a69c
hexf64f05c

258273372 has 96 divisors (see below), whose sum is σ = 703987200. Its totient is φ = 72179712.

The previous prime is 258273361. The next prime is 258273383. The reversal of 258273372 is 273372852.

It is an interprime number because it is at equal distance from previous prime (258273361) and next prime (258273383).

It is a self number, because there is not a number n which added to its sum of digits gives 258273372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338108 + ... + 1338300.

It is an arithmetic number, because the mean of its divisors is an integer number (7333200).

Almost surely, 2258273372 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 258273372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351993600).

258273372 is an abundant number, since it is smaller than the sum of its proper divisors (445713828).

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

258273372 is a wasteful number, since it uses less digits than its factorization.

258273372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 258273372 is about 16070.8858498839. The cubic root of 258273372 is about 636.8344432636.

The spelling of 258273372 in words is "two hundred fifty-eight million, two hundred seventy-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 179 193 267 356 358 386 534 537 579 623 716 772 1068 1074 1158 1246 1253 1351 1869 2148 2316 2492 2506 2702 3738 3759 4053 5012 5404 7476 7518 8106 15036 15931 16212 17177 31862 34354 34547 47793 51531 63724 68708 69094 95586 103062 103641 111517 120239 138188 191172 206124 207282 223034 240478 241829 334551 360717 414564 446068 480956 483658 669102 721434 725487 967316 1338204 1442868 1450974 2901948 3074683 6149366 9224049 12298732 18448098 21522781 36896196 43045562 64568343 86091124 129136686 258273372