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272045952 = 2734191381
BaseRepresentation
bin10000001101110…
…001011110000000
3200221220100220000
4100031301132000
51024120432302
642554520000
76512231613
oct2015613600
9627810800
10272045952
1112a621172
1277136000
1344491149
14281b817a
1518d3b31c
hex10371780

272045952 has 160 divisors (see below), whose sum is σ = 852832200. Its totient is φ = 85847040.

The previous prime is 272045927. The next prime is 272045953. The reversal of 272045952 is 259540272.

It is a happy number.

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 (272045953) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 196302 + ... + 197682.

Almost surely, 2272045952 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 272045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426416100).

272045952 is an abundant number, since it is smaller than the sum of its proper divisors (580786248).

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

272045952 is a wasteful number, since it uses less digits than its factorization.

272045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 272045952 is about 16493.8155682668. The cubic root of 272045952 is about 647.9588451229.

The spelling of 272045952 in words is "two hundred seventy-two million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 384 432 456 513 576 608 648 684 864 912 1026 1152 1216 1296 1368 1381 1539 1728 1824 2052 2432 2592 2736 2762 3078 3456 3648 4104 4143 5184 5472 5524 6156 7296 8208 8286 10368 10944 11048 12312 12429 16416 16572 21888 22096 24624 24858 26239 32832 33144 37287 44192 49248 49716 52478 65664 66288 74574 78717 88384 98496 99432 104956 111861 132576 149148 157434 176768 196992 198864 209912 223722 236151 265152 298296 314868 397728 419824 447444 472302 530304 596592 629736 708453 795456 839648 894888 944604 1193184 1259472 1416906 1590912 1679296 1789776 1889208 2125359 2386368 2518944 2833812 3358592 3579552 3778416 4250718 4772736 5037888 5667624 7159104 7556832 8501436 10075776 11335248 14318208 15113664 17002872 22670496 30227328 34005744 45340992 68011488 90681984 136022976 272045952