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252442332 = 22342967401
BaseRepresentation
bin11110000101111…
…11011011011100
3122121000101210000
433002333123130
51004111123312
641014414300
76153503322
oct1702773334
9577011700
10252442332
1111a55172a
1270661390
13403b927c
1425753d12
1517267adc
hexf0bf6dc

252442332 has 120 divisors (see below), whose sum is σ = 694607760. Its totient is φ = 79833600.

The previous prime is 252442321. The next prime is 252442343. The reversal of 252442332 is 233244252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252442321) and next prime (252442343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252442296 and 252442305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629332 + ... + 629732.

It is an arithmetic number, because the mean of its divisors is an integer number (5788398).

Almost surely, 2252442332 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 252442332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347303880).

252442332 is an abundant number, since it is smaller than the sum of its proper divisors (442165428).

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

252442332 is a wasteful number, since it uses less digits than its factorization.

252442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 252442332 is about 15888.4339064616. The cubic root of 252442332 is about 632.0053109365.

Adding to 252442332 its reverse (233244252), we get a palindrome (485686584).

The spelling of 252442332 in words is "two hundred fifty-two million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 67 81 87 108 116 134 162 174 201 261 268 324 348 401 402 522 603 783 802 804 1044 1203 1206 1566 1604 1809 1943 2349 2406 2412 3132 3609 3618 3886 4698 4812 5427 5829 7218 7236 7772 9396 10827 10854 11629 11658 14436 17487 21654 21708 23258 23316 26867 32481 34887 34974 43308 46516 52461 53734 64962 69774 69948 80601 104661 104922 107468 129924 139548 157383 161202 209322 209844 241803 313983 314766 322404 418644 483606 627966 629532 725409 779143 941949 967212 1255932 1450818 1558286 1883898 2176227 2337429 2901636 3116572 3767796 4352454 4674858 7012287 8704908 9349716 14024574 21036861 28049148 42073722 63110583 84147444 126221166 252442332