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252450030 = 23577915217
BaseRepresentation
bin11110000110000…
…01010011101110
3122121000210100010
433003001103232
51004111400110
641014514050
76153534630
oct1703012356
9577023303
10252450030
1111a557498
1270665926
13403bc921
1425756a50
151726a020
hexf0c14ee

252450030 has 64 divisors (see below), whose sum is σ = 701245440. Its totient is φ = 56968704.

The previous prime is 252449963. The next prime is 252450041. The reversal of 252450030 is 30054252.

252450030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 252449979 and 252450006.

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, 8982 + ... + 24198.

It is an arithmetic number, because the mean of its divisors is an integer number (10956960).

Almost surely, 2252450030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252450030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350622720).

252450030 is an abundant number, since it is smaller than the sum of its proper divisors (448795410).

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

252450030 is a wasteful number, since it uses less digits than its factorization.

252450030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15313.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 252450030 is about 15888.6761563070. The cubic root of 252450030 is about 632.0117350142.

The spelling of 252450030 in words is "two hundred fifty-two million, four hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1185 1659 2370 2765 3318 5530 8295 15217 16590 30434 45651 76085 91302 106519 152170 213038 228255 319557 456510 532595 639114 1065190 1202143 1597785 2404286 3195570 3606429 6010715 7212858 8415001 12021430 16830002 18032145 25245003 36064290 42075005 50490006 84150010 126225015 252450030