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70090752 = 21532331
BaseRepresentation
bin1000010110110…
…00000000000000
311212212222102210
410023120000000
5120420401002
610542142120
71510522134
oct413300000
9155788383
1070090752
1136623246
121b581940
13116a0c24
1494473c4
15624796c
hex42d8000

70090752 has 128 divisors (see below), whose sum is σ = 201323520. Its totient is φ = 21626880.

The previous prime is 70090723. The next prime is 70090763. The reversal of 70090752 is 25709007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260977 + ... + 2261007.

It is an arithmetic number, because the mean of its divisors is an integer number (1572840).

Almost surely, 270090752 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 70090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100661760).

70090752 is an abundant number, since it is smaller than the sum of its proper divisors (131232768).

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

70090752 is an equidigital number, since it uses as much as digits as its factorization.

70090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 70090752 is about 8372.0219779931. The cubic root of 70090752 is about 412.3065553944.

Adding to 70090752 its reverse (25709007), we get a palindrome (95799759).

The spelling of 70090752 in words is "seventy million, ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 512 552 713 736 744 768 992 1024 1104 1426 1472 1488 1536 1984 2048 2139 2208 2852 2944 2976 3072 3968 4096 4278 4416 5704 5888 5952 6144 7936 8192 8556 8832 11408 11776 11904 12288 15872 16384 17112 17664 22816 23552 23808 24576 31744 32768 34224 35328 45632 47104 47616 49152 63488 68448 70656 91264 94208 95232 98304 126976 136896 141312 182528 188416 190464 253952 273792 282624 365056 376832 380928 507904 547584 565248 730112 753664 761856 1015808 1095168 1130496 1460224 1523712 2190336 2260992 2920448 3047424 4380672 5840896 8761344 11681792 17522688 23363584 35045376 70090752