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296420472 = 2334617499
BaseRepresentation
bin10001101010110…
…000010001111000
3202122202201110000
4101222300101320
51101340423342
645225153000
710226350425
oct2152602170
9678681400
10296420472
1114235a0a7
128332b760
134954673a
142b520d4c
151b05344c
hex11ab0478

296420472 has 80 divisors (see below), whose sum is σ = 843975000. Its totient is φ = 97174080.

The previous prime is 296420429. The next prime is 296420477. The reversal of 296420472 is 274024692.

296420472 is a `hidden beast` number, since 2 + 9 + 642 + 0 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296420477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35779 + ... + 43277.

Almost surely, 2296420472 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 296420472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421987500).

296420472 is an abundant number, since it is smaller than the sum of its proper divisors (547554528).

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

296420472 is a wasteful number, since it uses less digits than its factorization.

296420472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 296420472 is about 17216.8659168851. The cubic root of 296420472 is about 666.7597854372.

It can be divided in two parts, 2964 and 20472, that added together give a triangular number (23436 = T216).

The spelling of 296420472 in words is "two hundred ninety-six million, four hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 7499 9882 13176 14998 19764 22497 29996 39528 44994 59992 67491 89988 134982 179976 202473 269964 404946 457439 539928 607419 809892 914878 1214838 1372317 1619784 1829756 2429676 2744634 3659512 4116951 4859352 5489268 8233902 10978536 12350853 16467804 24701706 32935608 37052559 49403412 74105118 98806824 148210236 296420472