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252554970 = 23537472103
BaseRepresentation
bin11110000110110…
…10111011011010
3122121020010021210
433003122323122
51004123224340
641021043550
76154452603
oct1703327332
9577203253
10252554970
1111a619318
12706b65b6
1340428615
1425782daa
151728b180
hexf0daeda

252554970 has 96 divisors (see below), whose sum is σ = 642215808. Its totient is φ = 63510912.

The previous prime is 252554963. The next prime is 252554977. The reversal of 252554970 is 79455252.

252554970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252554963) and next prime (252554977).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252554977) 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 47 ways as a sum of consecutive naturals, for example, 2451939 + ... + 2452041.

It is an arithmetic number, because the mean of its divisors is an integer number (6689748).

Almost surely, 2252554970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252554970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321107904).

252554970 is an abundant number, since it is smaller than the sum of its proper divisors (389660838).

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

252554970 is a wasteful number, since it uses less digits than its factorization.

252554970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 252554970 is about 15891.9781650995. The cubic root of 252554970 is about 632.0992957401.

The spelling of 252554970 in words is "two hundred fifty-two million, five hundred fifty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 103 111 141 185 206 222 235 282 309 370 470 515 555 618 705 1030 1110 1410 1545 1739 2209 3090 3478 3811 4418 4841 5217 6627 7622 8695 9682 10434 11045 11433 13254 14523 17390 19055 22090 22866 24205 26085 29046 33135 38110 48410 52170 57165 66270 72615 81733 114330 145230 163466 179117 227527 245199 358234 408665 455054 490398 537351 682581 817330 895585 1074702 1137635 1225995 1365162 1791170 2275270 2451990 2686755 3412905 5373510 6825810 8418499 16836998 25255497 42092495 50510994 84184990 126277485 252554970