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272906472 = 233292411627
BaseRepresentation
bin10000010001000…
…011100011101000
3201000112002022010
4100101003203220
51024331001342
643025155520
76522444456
oct2021034350
9630462263
10272906472
11130059743
127748bba0
1344702a27
142835d9d6
1518e5b29c
hex104438e8

272906472 has 64 divisors (see below), whose sum is σ = 709156800. Its totient is φ = 87413760.

The previous prime is 272906471. The next prime is 272906479. The reversal of 272906472 is 274609272.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272906472.

It is not an unprimeable number, because it can be changed into a prime (272906471) 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, 166923 + ... + 168549.

It is an arithmetic number, because the mean of its divisors is an integer number (11080575).

Almost surely, 2272906472 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 272906472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354578400).

272906472 is an abundant number, since it is smaller than the sum of its proper divisors (436250328).

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

272906472 is a wasteful number, since it uses less digits than its factorization.

272906472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 272906472 is about 16519.8811133737. The cubic root of 272906472 is about 648.6413213358.

The spelling of 272906472 in words is "two hundred seventy-two million, nine hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 241 348 482 696 723 964 1446 1627 1928 2892 3254 4881 5784 6508 6989 9762 13016 13978 19524 20967 27956 39048 41934 47183 55912 83868 94366 141549 167736 188732 283098 377464 392107 566196 784214 1132392 1176321 1568428 2352642 3136856 4705284 9410568 11371103 22742206 34113309 45484412 68226618 90968824 136453236 272906472