Search a number
-
+
70957248 = 2631953367
BaseRepresentation
bin1000011101010…
…11100011000000
311221112000001020
410032223203000
5121131112443
611012505440
71521061305
oct416534300
9157460036
1070957248
113706525a
121b91b280
131191544b
1495d10ac
156369583
hex43ab8c0

70957248 has 112 divisors (see below), whose sum is σ = 201899520. Its totient is φ = 21924864.

The previous prime is 70957223. The next prime is 70957259. The reversal of 70957248 is 84275907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193161 + ... + 193527.

Almost surely, 270957248 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 70957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100949760).

70957248 is an abundant number, since it is smaller than the sum of its proper divisors (130942272).

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

70957248 is a wasteful number, since it uses less digits than its factorization.

70957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 70957248 is about 8423.6125267014. The cubic root of 70957248 is about 413.9986464051.

The spelling of 70957248 in words is "seventy million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 192 212 228 304 318 367 424 456 608 636 734 848 912 1007 1101 1216 1272 1468 1696 1824 2014 2202 2544 2936 3021 3392 3648 4028 4404 5088 5872 6042 6973 8056 8808 10176 11744 12084 13946 16112 17616 19451 20919 23488 24168 27892 32224 35232 38902 41838 48336 55784 58353 64448 70464 77804 83676 96672 111568 116706 155608 167352 193344 223136 233412 311216 334704 369569 446272 466824 622432 669408 739138 933648 1108707 1244864 1338816 1478276 1867296 2217414 2956552 3734592 4434828 5913104 8869656 11826208 17739312 23652416 35478624 70957248