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70948416 = 2637114799
BaseRepresentation
bin1000011101010…
…01011001000000
311221111112221010
410032221121000
5121130322131
611012400520
71521023460
oct416513100
9157445833
1070948416
1137059660
121b916140
1311911416
1495cbba0
156366b46
hex43a9640

70948416 has 112 divisors (see below), whose sum is σ = 234086400. Its totient is φ = 18424320.

The previous prime is 70948403. The next prime is 70948417. The reversal of 70948416 is 61484907.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (70948417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385 + ... + 17183.

Almost surely, 270948416 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 70948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

70948416 is an abundant number, since it is smaller than the sum of its proper divisors (163137984).

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

70948416 is a wasteful number, since it uses less digits than its factorization.

70948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 70948416 is about 8423.0882697500. The cubic root of 70948416 is about 413.9814689831.

The spelling of 70948416 in words is "seventy million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4799 4928 7392 9598 14397 14784 19196 28794 33593 38392 52789 57588 67186 76784 100779 105578 115176 134372 153568 158367 201558 211156 230352 268744 307136 316734 369523 403116 422312 460704 537488 633468 739046 806232 844624 921408 1074976 1108569 1266936 1478092 1612464 1689248 2149952 2217138 2533872 2956184 3224928 3378496 4434276 5067744 5912368 6449856 8868552 10135488 11824736 17737104 23649472 35474208 70948416